## Euclid Geometry Questions and Answers:

**Ques.** The three steps from solids to points are :

(a) Solids – surfaces – lines – points

(b) Solids – lines – surfaces – points

(c) Lines – points – surfaces – solids

(d) Lines – surfaces – points – solids

**Ques.** Euclid divided his famous treatise “The Elements” into :

(a) 13 chapters

(b) 12 chapters

(c) 11 chapters

(d) 9 chapters

**Ques.** Euclid’s second axiom is

(a) The things which are equal to the same thing are equal to one another.

(b) If equals are added to equals, the whole is equal.

(c) If equals are subtracted from equals, the remainders are equals.

(d) Things which coincide with one another are equal to one another.

**Ques.** Boundaries of solids are :

(a) surfaces

(b) curves

(c) lines

(d) points

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**Ques.** The side faces of a pyramid are :

(a) Triangles

(b) Squares

(c) Polygons

(d) Trapeziums

**Ques.** The Greeks emphasized :

(a) Inductive reasoning

(b) Deductive reasoning

(c) Both A and B

(d) Practical use of geometry

**Ques.** Which of the following needs proof ?

(a) Theorem

(b) Axiom

(c) Definition

(d) Postulate

**Ques.** Euclid’s fifth postulate is

(a) The whole is greater than the part.

(b) A circle may be described with any centre and any radius.

(c) All right angles are equal to one another.

(d) If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.

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**Ques.** In religious practice, the shapes of altars used are :

(a) Squares and circles

(b) Triangles and rectangles

(c) Trapeziums and pyramids

(d) Rectangles and squares

**Ques.** Euclid belongs to the country :

(a) Babylonia

(b) Egypt

(c) Greece

(d) India

**Ques.** Pythagoras was a student of :

(a) Thales

(b) Euclid

(c) Both A and B

(d) Archimedes

**Ques.** “Lines are parallel if they do not intersect” is stated in the form of

(a) an axiom

(b) a definition

(c) a postulate

(d) a proof

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**Ques.** The number of dimensions of a surface is :

(a) 1

(b) 2

(c) 3

(d) 0

**Ques.** In the Indus Valley Civilisation (about 300 B.C.), the bricks used for construction work had dimensions in the ratio

(a) 1 : 3 : 4

(b) 4 : 2 : 1

(c) 4 : 4 : 1

(d) 4 : 3 : 2

**Ques.** The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is:

(a) Seven

(b) Eight

(c) Nine

(d) Eleven

**Ques.** Johnny is of the same age as Megan. Raul is also of the same age as Megan. State Euclid‟s axiom that illustrates the relative ages of John and Raul.

(a) First Axiom

(b) Second Axiom

(c) Third Axiom

(d) Fourth Axiom

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**Ques.** The number of dimensions, a solid has :

(a) 1

(b) 2

(c) 3

(d) 0

**Ques.** Boundaries of surfaces are :

(a) surfaces

(b) curves

(c) lines

(d) points

**Ques.** In Ancient India, altars with combinations of shapes like rectangles, triangles and trapeziums were used for :

(a) Public worship

(b) Household rituals

(c) Both A and B

(d) None of A, B, C

**Ques.** Euclid stated that all right angles are equal to each other in the form of

(a) an axiom

(b) a definition

(c) a postulate

(d) a proof

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**Ques.** The total number of propositions in the Elements are :

(a) 465

(b) 460

(c) 13

(d) 55

**Ques.** Thales belongs to the country :

(a) Babylonia

(b) Egypt

(c) Greece

(d) Rome

**Ques.** A pyramid is a solid figure, the base of which is

(a) only a triangle

(b) only a square

(c) only a rectangle

(d) any polygon

**Ques.** The number of dimensions, a point has :

(a) 0

(b) 1

(c) 2

(d) 3

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**Ques.** It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid‟s axiom that illustrates this statement is :

(a) First Axiom

(b) Second Axiom

(c) Third Axiom

(d) Fourth Axiom